Experimental Validation of Structures Optimised for Frequency Constraints and Dynamic Loading

[1]  Niels Olhoff,et al.  A method of design against vibration resonance of beams and shafts , 1985 .

[2]  Niels Olhoff,et al.  Designing vibrating beams and rotating shafts for maximum difference between adjacent natural frequencies , 1984 .

[3]  O. Sigmund,et al.  Topology optimization approaches , 2013, Structural and Multidisciplinary Optimization.

[4]  Y. Xie,et al.  A simple evolutionary procedure for structural optimization , 1993 .

[5]  N. L. Pedersen.  Maximization of eigenvalues using topology optimization , 2000 .

[6]  G. Steven,et al.  Topology and shape optimization methods using evolutionary algorithms: a review , 2015 .

[7]  N. Olhoff,et al.  Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps , 2007 .

[8]  M. Zhou,et al.  The COC algorithm, Part II: Topological, geometrical and generalized shape optimization , 1991 .

[9]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[10]  N. Kikuchi,et al.  Solutions to shape and topology eigenvalue optimization problems using a homogenization method , 1992 .

[11]  Theodore von Kármán.  Collapse of the tacoma narrows bridge , 2005 .

[12]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[13]  Grant P. Steven,et al.  Evolutionary structural optimization for dynamic problems , 1996 .

[14]  R. Blevins,et al.  Flow-Induced Vibration , 1977 .

[15]  Ramana V. Grandhi,et al.  Structural optimization with frequency constraints - A review , 1992 .

[16]  Ramana V. Grandhi,et al.  A survey of structural and multidisciplinary continuum topology optimization: post 2000 , 2014 .

[17]  N. Olhoff,et al.  Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives , 1999 .

[18]  C. S. Jog,et al.  Stability of finite element models for distributed-parameter optimization and topology design , 1996 .

[19]  Grant P. Steven,et al.  A simple approach to structural frequency optimization , 1994 .

[20]  Ole Sigmund,et al.  A 99 line topology optimization code written in Matlab , 2001 .

[21]  Jakob S. Jensen,et al.  On maximal eigenfrequency separation in two-material structures: the 1D and 2D scalar cases , 2006 .

[22]  Niels Olhoff,et al.  Optimization of Vibrating Beams with Respect to Higher Order Natural Frequencies , 1976 .

[23]  Niels Olhoff,et al.  Maximizing Higher Order Eigenfrequencies of Beams with Constraints on the Design Geometry , 1977 .

[24]  M. Bendsøe.  Optimal shape design as a material distribution problem , 1989 .